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Summer Slide: Middle School Geometry and Tessellating the Plane

In this fun math camp, students will review rigid transformations, angles, and triangle and quadrilateral related math while creating math-inspired art by exploring patterns and rules for tessellating the plane.
Malikai Bass M.A
Average rating:
5.0
Number of reviews:
(316)
Popular
Class

What's included

3 live meetings
2 hrs 15 mins in-class hours

Class Experience

US Grade 6 - 8
The curriculum is problem-based this means instead of lectures or videos students work together as a small group to solve problems to discover principles and strategies with teacher guidance, as necessary. Therefore, we will spend approximately 90% of each class period working on problems and discussing them as a group. The use of discussion and problem-solving leads to generalized mathematics or proofs.  In this camp we will explore tessellations as a way to review geometry basics and explore patterns and repeated reasoning in shapes.
Day 1: 
- Exploring Polygonal Patterns
- Introduction to Tessellations
- Using Rigid Transformations to Create and Describe Tessellations

Day 2:
- Introduction to Regular Tessellations
- Review of Angles in Regular Polygons

Day 3:
- Tessellations of specific shape and generalizing ideas
- Proving which shapes can always be regular tessellations
- The math behind tessellations and angles.
Learning Goals
Students will
    Create and describe patterns with specific polygons that fill the plane.
    Make regular tessellations
    Make tessellations with different polygons
    8.G.A
Understand congruence and similarity using physical models, transparencies, or geometry software.
learning goal

Syllabus

Curriculum
Follows Teacher-Created Curriculum
Standards
Aligned with Common Core State Standards (CCSS)
3 Lessons
over 1 Week
Lesson 1:
Tessellations of the Plane
 We will be introduced to tessellations of the plane and apply middle school geometry concepts in a mathematical context beginning with general tessellations. 
45 mins online live lesson
Lesson 2:
Regular Tessellations
 We will understand regular tessellations and use repeated reasoning to understand which polygons are able to regularly tessellate a plane. 
45 mins online live lesson
Lesson 3:
Tessellating Polygon
 We will work with non-regular tessellations involving polygons and develop proofs to understand which non-regular polygons can and can not tessellate the plane. 
45 mins online live lesson

Other Details

Learning Needs
This class is designed by an AUDHD/Dyspraxic Educator - slides and fonts designed to support dyslexia and visual processing - ability to type and use virtual drawing tools - communication aids including chat - ND Affirming classroom
Parental Guidance
Students will need to use Nearpod. They will need to click a link and enter their first name or initial. No other identifying information will be collected.
Pre-Requisites
Students should have good content mastery over middle school math standards and be familiar with middle school geometry ideas and vocabulary.
Joined April, 2021
5.0
316reviews
Popular
Profile
Teacher expertise and credentials
Professional Experience:
I have been a math tutor for over 12 years and have worked with students from ages 5-25 in small group and academic settings including serving as a primary teacher for home educated learners. I have received training and tutoring certification/awards from nationally recognized organizations. I was a group supplemental instruction leader for math at the collegiate level for four years at ETSU including working with dual enrolled and accelerated learners. I have taught and tutored math up to a graduate level in algebra, geometry, probability, and quantitative reasoning. 
Academic Experience: 
Constructivism and Mathematics, Science, and Technology Education
	This graduate level online course for educators used practical examples and empirical research to connect the educational philosophy of constructivism to best practices in STEM education and demonstrated online teaching strategies for this endeavor. It highlighted the power of solving problems through building and applying understandings rather than rote processes which influences the problem-centered curriculum This class also addressed common misconceptions or alternative schemas students develop for math and science prior to instruction and provided ideas for experiments and explorations to adjust these conceptions. 
Math 1410 Numbers, Concepts, and Algebra for Math Teachers
      This in-person semester long coursed prepared students to teach common core mathematics to students in grades kindergarten through eight including early access to algebra. It included practical teaching experience, ensuring the personal math conceptual fluency of each educator, and demonstrating expertise on the Praxis math exam for educators. 
Math 1420: Logic, Problems, and Geometry for Math Teachers
      This in-person semester long course prepared teacher candidates to teach common core mathematics to students in grades kindergarten through eighth including advanced ideas of logic, problem solving, and geometry using a constructivist lens. 


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Live Group Class
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$48

for 3 classes
3x per week, 1 week
45 min

Completed by 3 learners
Live video meetings
Ages: 11-14
3-6 learners per class

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